m∠2 = 4x + 4 and m∠1 = 5x − 2. Find x.
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Answer:
x = 6
Step-by-step explanation:
angles 1 and 2 are equal because the entire angle is bisected
so, 5x - 2 = 4x + 4
x - 2 = 4
x = 6
If you substitute 6 into each expression, they should be equal:
4(6) + 4 = 5(6) - 2
24 + 4 = 30 - 2
28 = 28